Nonlinear Sciences

Authors and titles for March 2017

[1] arXiv:1703.00100 [pdf, other]

Title: Asymptotic behaviour of the fifth Painlev\'e transcendents in the space of initial values

Nalini Joshi, Milena Radnović

Comments: 36 pages, 5 figures. arXiv admin note: text overlap with arXiv:1412.3541

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Classical Analysis and ODEs (math.CA)

[2] arXiv:1703.00101 [pdf, other]

Title: Dispersionless and multicomponent BKP hierarchies with quantum torus symmetries

Chuanzhong Li

Comments: 11 pages, to appear in Journal of Geometry and Physics

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Quantum Algebra (math.QA)

[3] arXiv:1703.00105 [pdf, other]

Title: Bosonic symmetries of the extended fermionic $(2N,2M)$-Toda hierarchy

Chuanzhong Li

Comments: 17 pages

Journal-ref: Theoretical and Mathematical Physics 199(2019) 695-708

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Operator Algebras (math.OA)

[4] arXiv:1703.00136 [pdf, other]

Title: Explosive oscillation death in coupled Stuart-Landau oscillators

Hongjie Bi, Xin Hu, Xiyun Zhang, Yong Zou, Zonghua Liu, Shuguang Guan

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Chaotic Dynamics (nlin.CD); Physics and Society (physics.soc-ph)

[5] arXiv:1703.00285 [pdf, other]

Title: Localized states qualitatively change the response of ecosystems to varying conditions and local disturbances

Yuval R. Zelnik, Ehud Meron, Golan Bel

Journal-ref: Ecological Complexity 25, 26-34 (2016)

Subjects: Pattern Formation and Solitons (nlin.PS); Biological Physics (physics.bio-ph); Computational Physics (physics.comp-ph)

[6] arXiv:1703.00413 [pdf, other]

Title: The effect of temperature on generic stable periodic structures in the parameter space of dissipative relativistic standard map

Ana C.C. Horstmann, Holokx A. Albuquerque, Cesar Manchein

Comments: 8 pages and 7 figures, accepted to publication in EPJB

Subjects: Chaotic Dynamics (nlin.CD)

[7] arXiv:1703.00679 [pdf, other]

Title: Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum

J. Cuevas-Maraver, P.G. Kevrekidis, A.B. Aceves, A. Saxena

Subjects: Pattern Formation and Solitons (nlin.PS)

[8] arXiv:1703.00732 [pdf, other]

Title: Gradual Regime Shifts in Fairy Circles

Yuval R. Zelnik, Ehud Meron, Golan Bel

Journal-ref: Proceedings of the National Academy of Sciences of the United States of America 112(40), 12327-12331 (2015)

Subjects: Pattern Formation and Solitons (nlin.PS); Biological Physics (physics.bio-ph)

[9] arXiv:1703.01039 [pdf, other]

Title: Analytical and simulation studies of pedestrian flow at a crossing with random update rule

Zhong-Jun Ding, Shao-Long Yu, Kongjin Zhu, Jian-Xun Ding, Bokui Chen, Qin Shi, Rui Jiang, Bing-Hong Wang

Comments: 11 pages, 15 figures

Subjects: Cellular Automata and Lattice Gases (nlin.CG)

[10] arXiv:1703.01069 [pdf, other]

Title: Algebraic entropy of (integrable) lattice equations and their reductions

John A. G. Roberts, Dinh T. Tran

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[11] arXiv:1703.01280 [pdf, other]

Title: Desertification by Front Propagation?

Yuval R. Zelnik, Hannes Uecker, Ulrike Feudel, Ehud Meron

Journal-ref: Journal of Theoretical Biology, 418:27-35, 2017

Subjects: Pattern Formation and Solitons (nlin.PS); Populations and Evolution (q-bio.PE)

[12] arXiv:1703.01314 [pdf, other]

Title: New types of two component NLS-type equations

Vladimir S. Gerdjikov, Alexander A. Stefanov

Comments: 14 pages

Journal-ref: Pliska Studia Mathematica vol. 26, 53--66 (2016)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[13] arXiv:1703.01445 [pdf, other]

Title: Cellular non-nonlinear network model of microbial fuel cell

Michail-Antisthenis Tsompanas, Andrew Adamatzky, Ioannis Ieropoulos, Neil Phillips, Georgios Ch. Sirakoulis, John Greenman

Subjects: Cellular Automata and Lattice Gases (nlin.CG)

[14] arXiv:1703.01503 [pdf, other]

Title: Increased persistence via asynchrony in oscillating ecological populations with long-range interaction

Anubhav Gupta, Tanmoy Banerjee, Partha Sharathi Dutta

Comments: 9 pages, 7 figures

Journal-ref: Phys. Rev. E 96, 042202 (2017)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Populations and Evolution (q-bio.PE)

[15] arXiv:1703.01687 [pdf, other]

Title: Initial-boundary value problems associated with the Ablowitz-Ladik system

Baoqiang Xia, A.S. Fokas

Comments: arXiv admin note: text overlap with arXiv:1703.01689

Journal-ref: Physica D 364 (2018) 27-61

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[16] arXiv:1703.01689 [pdf, other]

Title: The Ablowitz-Ladik system on a finite set of integers

Baoqiang Xia

Comments: arXiv admin note: substantial text overlap with arXiv:1703.01687

Journal-ref: Nonlinearity 31 (2018) 3086-3114

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[17] arXiv:1703.01723 [pdf, other]

Title: Integrable discretization of recursion operators and unified bilinear forms to soliton hierarchies

Xingbiao Hu, Guofu Yu, Yingnan Zhang

Comments: 16Pages

Journal-ref: Open Communications in Nonlinear Mathematical Physics, Special Issue in Memory of Decio Levi (February 15, 2024) ocnmp:11754

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[18] arXiv:1703.01878 [pdf, other]

Title: Functional Dynamical Structures in Complex Systems: an Information-Theoretic Approach

Marco Fiorucci

Comments: Master's Thesis

Subjects: Adaptation and Self-Organizing Systems (nlin.AO)

[19] arXiv:1703.01914 [pdf, other]

Title: Radial and circular synchronization clusters in extended starlike network of van der Pol oscillators

Pavel V. Kuptsov, Anna V. Kuptsova

Comments: 16 pages, 13 figures

Subjects: Chaotic Dynamics (nlin.CD); Networking and Internet Architecture (cs.NI); Adaptation and Self-Organizing Systems (nlin.AO)

[20] arXiv:1703.01964 [pdf, other]

Title: Mean-field dynamics of a population of stochastic map neurons

Igor Franovic, Oleg V. Maslennikov, Iva Bacic, Vladimir I. Nekorkin

Comments: 12 pages, 11 figures

Subjects: Chaotic Dynamics (nlin.CD); Disordered Systems and Neural Networks (cond-mat.dis-nn); Adaptation and Self-Organizing Systems (nlin.AO)

[21] arXiv:1703.02012 [pdf, other]

Title: Propagation of transition front in bi-stable nondegenerate chains: model dependence and universality

I.B. Shiroky, O.V. Gendelman

Subjects: Pattern Formation and Solitons (nlin.PS)

[22] arXiv:1703.02282 [pdf, other]

Title: On Integrable Ermakov-Painlev\'{e} IV Systems

Colin Rogers, Andrew P. Bassom, Peter A. Clarkson

Comments: 16 pages, 2 figures

Journal-ref: Journal of Mathematical Analysis and Applications, 462 (2018) 1225-1241

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[23] arXiv:1703.02408 [pdf, other]

Title: Reflection $K$-matrices for a nineteen vertex model with $U_{q}[\mathrm{osp}\left(2|2\right)^{\left(2\right)}]$ symmetry

R. S. Vieira, A. Lima Santos

Comments: 6 pages. Keywords: reflection K-matrices, boundary Yang-Baxter equation, Lie superalgebras, twisted Lie algebras, nineteen vertex-models

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)

[24] arXiv:1703.02561 [pdf, other]

Title: Propagating wave correlations in complex systems

Stephen C Creagh, Gabriele Gradoni, Timo Hartmann, Gregor Tanner

Journal-ref: Journal of Physics A: Mathematical and Theoretical, 50 (2017), p.045101

Subjects: Chaotic Dynamics (nlin.CD)

[25] arXiv:1703.02608 [pdf, other]

Title: Spot dynamics in a reaction-diffusion model of plant root hair initiation

D. Avitabile, V. F. Breña-Medina, M. J. Ward

Journal-ref: SIAM Journal of Applied Mathematics, 78(1), 291-319, 2018

Subjects: Pattern Formation and Solitons (nlin.PS); Dynamical Systems (math.DS); Biological Physics (physics.bio-ph)

[26] arXiv:1703.02644 [pdf, other]

Title: Absence of chaos in Digital Memcomputing Machines with solutions

Massimiliano Di Ventra, Fabio L. Traversa

Journal-ref: Physics Letters A, Vol. 381, Is. 38, Pages 3255-3257, 10 October 2017

Subjects: Chaotic Dynamics (nlin.CD); Emerging Technologies (cs.ET); Adaptation and Self-Organizing Systems (nlin.AO)

[27] arXiv:1703.02752 [pdf, other]

Title: Controlling of blow-up responses by a nonlinear $\cal{PT}$ symmetric coupling

S. Karthiga, V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan

Comments: Accepted for publication in Phys. Rev. A

Subjects: Pattern Formation and Solitons (nlin.PS)

[28] arXiv:1703.02768 [pdf, other]

Title: Chaotic mechanism description by an elementary mixer for the template of an attractor

Martin Rosalie

Subjects: Chaotic Dynamics (nlin.CD)

[29] arXiv:1703.02794 [pdf, other]

Title: Cherednik operators and Ruijsenaars-Schneider model at infinity

Maxim Nazarov, Evgeny Sklyanin

Comments: 21 pages

Journal-ref: International Mathematics Research Notices (2019) 2266-2294

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Combinatorics (math.CO); Quantum Algebra (math.QA); Representation Theory (math.RT)

[30] arXiv:1703.02936 [pdf, other]

Title: Chimera states in complex networks: interplay of fractal topology and delay

Jakub Sawicki, Iryna Omelchenko, Anna Zakharova, Eckehard Schöll

Comments: arXiv admin note: text overlap with arXiv:1603.00171

Subjects: Adaptation and Self-Organizing Systems (nlin.AO)

[31] arXiv:1703.03153 [pdf, other]

Title: New approaches to coding information using inverse scattering transform

L.L. Frumin, A.A. Gelash, S.K. Turitsyn

Comments: 6 pages plus supplementary materials, 4 figures

Journal-ref: Phys. Rev. Lett. 118, 223901 (2017)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Information Theory (cs.IT); Optics (physics.optics)

[32] arXiv:1703.03271 [pdf, other]

Title: Coble's group and the integrability of the Gosset-Elte polytopes and tessellations

James Atkinson

Comments: 16 pages, 5 figures, 4 tables. Additional citation

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Algebraic Geometry (math.AG)

[33] arXiv:1703.03274 [pdf, other]

Title: Heteroclinic switching between chimeras

Christian Bick

Journal-ref: Phys. Rev. E 97, 050201 (2018)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Disordered Systems and Neural Networks (cond-mat.dis-nn); Dynamical Systems (math.DS); Pattern Formation and Solitons (nlin.PS)

[34] arXiv:1703.03628 [pdf, other]

Title: Nonlinear dispersive waves in repulsive lattices

A. Mehrem, N. Jiménez, L. Salmerón-Contreras, X. García-Andrés, L. M. García-Raffi, R. Picó, V. Sánchez-Morcillo

Comments: 10 pages, 6 figures

Journal-ref: Phys. Rev. E 96, 012208 (2017)

Subjects: Pattern Formation and Solitons (nlin.PS); Fluid Dynamics (physics.flu-dyn)

[35] arXiv:1703.03705 [pdf, other]

Title: On nonlocal models of Kulish-Sklyanin type and generalized Fourier transforms

Vladimir S. Gerdjikov

Comments: 16 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[36] arXiv:1703.04015 [pdf, other]

Title: Direct observation of chimera-like states in a ring of coupled electronic self-oscillators

L.Q. English, A. Zampetaki, P.G. Kevrekidis, K. Skowronski, C.B. Fritz, Saidou Abdoulkary

Comments: 9 pages, 9 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[37] arXiv:1703.04061 [pdf, other]

Title: Algebro-geometric Constructions to the Dym-type Hierarchy

Lihua Wu, Guoliang He, Xianguo Geng

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[38] arXiv:1703.04246 [pdf, other]

Title: Control of traveling localized spots

Steffen Martens, Christopher Ryll, Jakob Löber, Fredi Tröltzsch, Harald Engel

Comments: 21 pages, 8 figures , 6 videos

Subjects: Pattern Formation and Solitons (nlin.PS)

[39] arXiv:1703.04251 [pdf, other]

Title: B\"acklund transformations for the nonholonomic Veselova system

A V Tsiganov

Comments: 16 pages, 3 figures, LaTeX with AMSfonts

Journal-ref: Regular and Chaotic Dynamics, 2017, vol. 22, no. 2, pp. 163-179

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Dynamical Systems (math.DS)

[40] arXiv:1703.04284 [pdf, other]

Title: Predictability of large-scale atmospheric motions: Lyapunov exponents and error dynamics

Stéphane Vannitsem

Comments: 25 pages, 17 figures, accepted in Chaos: An Interdisciplinary Journal of Nonlinear Science

Subjects: Chaotic Dynamics (nlin.CD)

[41] arXiv:1703.04383 [pdf, other]

Title: Enhanced robustness of evolving open systems by the bidirectionality of interactions between elements

Fumiko Ogushi, János Kertész, Kimmo Kaski, Takashi Shimada

Journal-ref: Scientific Reports 7, 6978 (2017)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Statistical Mechanics (cond-mat.stat-mech)

[42] arXiv:1703.04480 [pdf, other]

Title: How disorder originates and grows inside order

S.E. Kurushina, E.A. Shapovalova

Comments: 10 pages, 6 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[43] arXiv:1703.04678 [pdf, other]

Title: On a new avatar of the sine-Gordon equation

Sergei Sakovich

Comments: 10 pages

Journal-ref: Nonlinear Phenom. Complex Syst. 21 (2018) 62-68

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)

[44] arXiv:1703.05277 [pdf, other]

Title: The derivative NLS equation: global existence with solitons

Yusuke Shimabukuro, Aaron Saalmann, Dmitry E. Pelinovsky

Comments: 19 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[45] arXiv:1703.05308 [pdf, other]

Title: Robustness of spatial patterns in buffered reaction-diffusion systems and its reciprocity with phase plasticity

Tetsuhiro S. Hatakeyama, Kunihiko Kaneko

Comments: 14 pages, 4 figures

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Cell Behavior (q-bio.CB); Subcellular Processes (q-bio.SC)

[46] arXiv:1703.05504 [pdf, other]

Title: Transient sequences in a hypernetwork generated by an adaptive network of spiking neurons

Oleg V. Maslennikov, Dmitry S. Shchapin, Vladimir I. Nekorkin

Comments: 10 pages, 4 figures

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Neurons and Cognition (q-bio.NC)

[47] arXiv:1703.05669 [pdf, other]

Title: Rational solutions to the ABS list: Degenerating approach

Song-lin Zhao, Da-jun Zhang

Comments: 19 pages,Typos corrected

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[48] arXiv:1703.05718 [pdf, other]

Title: Spontaneous symmetry breaking due to the trade-off between attractive and repulsive couplings

K. Sathiyadevi, S. Karthiga, V. K. Chandrasekar, D. V. Senthilkumar, M. Lakshmanan

Comments: Accepted for publication in Phys. Rev. E

Journal-ref: Phys. Rev. E 95, 042301 (2017)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO)

[49] arXiv:1703.05850 [pdf, other]

Title: On Kaup-Kupershchmidt type equations and their soliton solutions

Vladimir S. Gerdjikov

Comments: 19 pages, 1 figure

Journal-ref: Nuovo Cimento C {\bf 38C} 161 (2016)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[50] arXiv:1703.05855 [pdf, other]

Title: On the soliton solutions of a family of Tzitzeica equations

Corina N. Babalic, Radu Constantinescu, Vladimir S. Gerdjikov

Comments: 24 pages, 1 figure

Journal-ref: J. Geom. Symm. Phys. {\bf 37}, 1--24 (2015)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)